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Finding the Third Proportional to 649 and 942.50

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Solution

The third proportional to 649 and 942.50 is: 1,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649 : 942.50 = 942.50 : x
  2. Step 2: Convert to fraction form
    649/942.50 = 942.50/x
  3. Step 3: Cross multiply
    649x = 942.50 × 942.50
  4. Step 4: Simplify right side
    649x = 888,306.25
  5. Step 5: Solve for x
    x = 888,306.25/649
  6. Step 6: Final answer
    x = 1,368.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.